Tottenham defeated Arsenal in the north London derby on Wednesday, while five-time winners Chelsea defeated Bournemouth.
Pep Guardiola’s City saw off Leicester in a penalty shoot-out on Tuesday, with Burton into the last four of the competition for the first time after winning at Middlesbrough.
Chelsea assistant manager Gianfranco Zola said the draw “could have been better but it is fine.”
When asked for his thoughts about drawing Chelsea, Spurs boss Mauricio Pochettino told Sky Sports: “It’s another London derby.
“This will be our fourth London derby. We started the Carabao Cup against Watford, then we played against West Ham at the Olympic Stadium, tonight was Arsenal and now a semi-final against Chelsea.
“Chelsea is a great team and it’s going to be very tough but we are excited.”